Name
Abstract | ||
|---|---|---|
Absorbing layers are sometimes required to be impractically thick in order to offer an accurate approximation of an absorbing boundary condition for the Helmholtz equation in a heterogeneous medium. It is always possible to reduce an absorbing layer to an operator at the boundary by layer stripping elimination of the exterior unknowns, but the linear algebra involved is costly. We propose bypassing the elimination procedure and directly fitting the surface-to-surface operator in compressed form from a few exterior Helmholtz solves with random Dirichlet data. The result is a concise description of the absorbing boundary condition, with a complexity that grows slowly (often, logarithmically) in the frequency parameter. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/14095563X | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | DocType | Volume |
absorbing boundary condition,nonreflecting boundary condition,radiating boundary condition,open boundary condition,Helmholtz equation,matrix probing,heterogeneous media | Journal | 53 |
Issue | ISSN | Citations |
5 | 0036-1429 | 4 |
PageRank | References | Authors |
0.43 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rosalie Bélanger-Rioux | 1 | 4 | 0.43 |
| Laurent Demanet | 2 | 750 | 57.81 |